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Finding the Fourth Proportional to 6,707.41, 10,056.98 and 3,197.27

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Solution

The fourth proportional to 6,707.41, 10,056.98 and 3,197.27 is: 4,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.41 : 10,056.98 = 3,197.27 : x
  2. Step 2: Convert to fraction form
    6,707.41/10,056.98 = 3,197.27/x
  3. Step 3: Cross multiply
    6,707.41x = 10,056.98 × 3,197.27
  4. Step 4: Simplify right side
    6,707.41x = 32,154,913.58
  5. Step 5: Solve for x
    x = 32,154,913.58/6,707.41
  6. Step 6: Final answer
    x = 4,793.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.